Multivariable Calculus Unit 1: Exploring (x,y,z) Space and R3 Basics 📐

Welcome to Lecture 1 of Multivariable Calculus! This video is about (x,y) and (x,y,z) space. We look at the layout of R3, points, the distance formula, circles, spheres, and circular cylinders. In this video we explore the jump from single-variable calculus to multivariable calculus: - R² (2D space) vs R³ (3D space) - Equations of lines, planes, circles, and spheres - Octants in R³ - Distance formula and its applications This course is designed for students taking Calculus III. If you are visiting my channel, please subscribe and check out the rest of my lectures on Multivariable Calculus: Next lecture: https://youtu.be/v3Lg2lH4DEM Playlist: https://www.youtube.com/playlist?list=PLBEl4BT8wUgOqJCBijQxClMIuumgtMinc Subscribe for more series: @bevinmaultsby #mathematics #math #multivariablecalculus #calculus #vectorcalculus #iitjammathematics #calculus3